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Simplifying 8x + 46 = 3x + 21 Reorder the terms: 46 + 8x = 3x + 21 Reorder the terms: 46 + 8x = 21 + 3x Solving 46 + 8x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 46 + 8x + -3x = 21 + 3x + -3x Combine like terms: 8x + -3x = 5x 46 + 5x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 46 + 5x = 21 + 0 46 + 5x = 21 Add '-46' to each side of the equation. 46 + -46 + 5x = 21 + -46 Combine like terms: 46 + -46 = 0 0 + 5x = 21 + -46 5x = 21 + -46 Combine like terms: 21 + -46 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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